It takes the average reader 3 hours and 20 minutes to read Group Identities on Units and Symmetric Units of Group Rings by Gregory T Lee
Assuming a reading speed of 250 words per minute. Learn more
Let FG be the group ring of a group G over a field F. Write U(FG) for the group of units of FG. It is an important problem to determine the conditions under which U(FG) satisfies a group identity. In the mid 1990s, a conjecture of Hartley was verified, namely, if U(FG) satisfies a group identity, and G is torsion, then FG satisfies a polynomial identity. Necessary and sufficient conditions for U(FG) to satisfy a group identity soon followed. Since the late 1990s, many papers have been devoted to the study of the symmetric units; that is, those units u satisfying u* = u, where * is the involution on FG defined by sending each element of G to its inverse. The conditions under which these symmetric units satisfy a group identity have now been determined. This book presents these results for arbitrary group identities, as well as the conditions under which the unit group or the set of symmetric units satisfies several particular group identities of interest.
Group Identities on Units and Symmetric Units of Group Rings by Gregory T Lee is 196 pages long, and a total of 50,176 words.
This makes it 66% the length of the average book. It also has 61% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 4 hours and 34 minutes to read Group Identities on Units and Symmetric Units of Group Rings aloud.
Group Identities on Units and Symmetric Units of Group Rings is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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